Let's go through the problem step-by-step based on the given formula:
The given formula for the total volume is:
[tex]\[ \text{Total Volume} = 5hB + \frac{1}{2}BhH \][/tex]
We are provided with the values:
- [tex]\( h = 40 \)[/tex]
- [tex]\( B = 30 \)[/tex]
- [tex]\( H = 95 \)[/tex]
We need to calculate each term separately first and then add them up.
### Step-by-Step Calculation
1. First part of the formula:
[tex]\[ 5hB = 5 \times 40 \times 30 \][/tex]
[tex]\[ = 5 \times 1200 \][/tex]
[tex]\[ = 6000 \][/tex]
2. Second part of the formula:
[tex]\[ \frac{1}{2}BhH = \frac{1}{2} \times 30 \times 40 \times 95 \][/tex]
[tex]\[ = \frac{1}{2} \times 30 \times 3800 \][/tex]
[tex]\[ = \frac{1}{2} \times 114000 \][/tex]
[tex]\[ = 57000 \][/tex]
3. Total Volume:
[tex]\[ \text{Total Volume} = 6000 + 57000 \][/tex]
[tex]\[ = 63000 \,\text{cubic millimeters} \][/tex]
### Conclusion
Ryder's calculations match the correct calculations:
[tex]\[ \text{Total Volume} = 63000 \,\text{cubic millimeters} \][/tex]
Therefore, the given answer is correct:
- Ryder determined the volume correctly
